A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film Micromagnetics

الملخص EN

The paper is concerned with a two-dimensional Landau-Lifshitz equation which was first raised by A.

DeSimone and F.

Otto, and so fourth, when studying thin film micromagnetics.

We get the existence of a local weak solution by approximating it with a higher-order equation.

Penalty approximation and semigroup theory are employed to deal with the higher-order equation.